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The equations of the latus recta of the ellipse `9x^(2) + 25y^(2) - 36x + 50y - 164 = 0` are

A

x-4=0,x+2=0

B

x-6=0,x+2=0

C

x-6=0,x-2=0

D

x+4=0,x+5=0

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The correct Answer is:
B
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AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. The foci of the ellipse 9x^(2)+ 5(y^(2)-10y +25)=45 are

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  2. The equation of the major axis of 25x^(2) + 16y^(2)-100x - 96y - 156 =...

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  3. The equations of the latus recta of the ellipse 9x^(2) + 25y^(2) - 36x...

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  4. The equations of the directrices of 16x^(2) + 25y^(2) - 96x - 100y - 1...

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  5. The asending order of the eccentricities l(1),l(2),l(3) of the conics...

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  6. Let P be a point on an ellipse whose parameter is (pi)/(3) . The sum a...

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  7. Match the eccentricities of the ellipses The correct Matching is

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  8. Assertion (A) : the sum and product of the slopes of the tangents to...

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  9. If the latusrectum of an ellipse is half of its major axis then e is

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  10. If the latus rectum of an ellipse is half of its minor axis then e =

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  11. The distance between the directrix is equal to 8 times the distance be...

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  12. If the m inor axis of an ellipse form s an equilateral triangle with o...

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  13. Let S, S^(') are the focii and BB^(') be the minor axis of an ellipse....

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  14. The length of the latus rectum of an ellipse is 4. The focus and its c...

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  15. Let P be a point on an ellipse whose parameter is (pi)/(3) . The sum a...

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  16. The latus rectum LL^(') subtends a right angle at the centre of the el...

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  17. If the latus rectum of a hyperola forms an equilateral triangle with t...

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  18. Area of the quadrilateral formed by the extremities of major axis and ...

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  19. If x+ky-5=0 is a tangent to the ellipse 4x^(2)+9y^(2)=20 then k =

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  20. The equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which ar...

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